Buckling Analysis of Nano-plates Using Nonlocal Elasticity Theory And Molecular Dynamics Simulation

The biaxial buckling behavior of single-layered graphene sheets (SLGSs) was studied in the present work. To consider the size-effects in the analysis, Eringen’s nonlocal elasticity equations were incorporated into classical plate theory (CLPT). A Generalized differential Quadrature Method (GDQM) was utilized and numerical solutions for the critical buckling loads were obtained. The results were compared with the results of the literature and showed the accuracy of the method used in the present work. Then, molecular dynamics (MD) simulations of zigzag SLGSs with different side-lengths and boundary conditions were performed. Finally, the MD simulation results were compared with the results obtained by the nonlocal plate model to calculate appropriate values of nonlocal parameter corresponding to each boundary condition type. Keywords: Biaxial buckling, Single-layered graphene sheets, Nonlocal elasticity, Molecular dynamics simulation, Classical plate theory.